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Finding the Fourth Proportional to 71,413.92, 107,187.12 and 36,379.80

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Solution

The fourth proportional to 71,413.92, 107,187.12 and 36,379.80 is: 54,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,413.92 : 107,187.12 = 36,379.80 : x
  2. Step 2: Convert to fraction form
    71,413.92/107,187.12 = 36,379.80/x
  3. Step 3: Cross multiply
    71,413.92x = 107,187.12 × 36,379.80
  4. Step 4: Simplify right side
    71,413.92x = 3,899,445,988.18
  5. Step 5: Solve for x
    x = 3,899,445,988.18/71,413.92
  6. Step 6: Final answer
    x = 54,603.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.